Question

A study of bone density on 5 random women at a hospital produced the following results....

A study of bone density on 5 random women at a hospital produced the following results. Age 37 45 57 61 65 Bone Density 350 345 340 320 315 Step 3 of 3 : Calculate the correlation coefficient, r. Round your answer to three decimal places.

Homework Answers

Answer #1

SOLUTION:

From given data,

A study of bone density on 5 random women at a hospital produced the following results. Age 37 45 57 61 65 Bone Density 350 345 340 320 315 Step 3 of 3 : Calculate the correlation coefficient, r. Round your answer to three decimal places.

We have the data,

Age 37 45 57 61 65
Bone Density 350 345 340 320 315

Sample size = n = 5

Age (X) Bone Density (Y) X*Y X2 Y2
37 350 12950 1369 122500
45 345 15525 2025 119025
57 340 19380 3249 115600
61 320 19520 3721 102400
65 315 20475 4225 99225
X = 265 Y = 1670 X*Y =87850 X2 =14589 Y2 =558750

The formula for  the correlation coefficient, r is

r =( n (∑ xy) − ( ∑x )( ∑y ) ) / sqrt( [ n ∑ x2 − ( ∑x )2 ][ n ∑ y2 − ( ∑ y )2] )

By substituting all values from above table then we get,

r =( 5 (87850)− (265)(1670) ) / sqrt( [ 5 (14589) − (265)2 ][ 5 (558750) − ( 1670)2] )

r = - 3300 / 3632.07929

r = - 0.90857

r = - 0.909 ( Rounded answer to three decimal places )

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A study of bone density on 5 5 random women at a hospital produced the following...
A study of bone density on 5 5 random women at a hospital produced the following results. Age 37 37 41 41 49 49 61 61 65 65 Bone Density 350 350 335 335 325 325 320 320 315 315 Copy DataAge Bone Density 37 350 41 335 49 325 61 320 65 315 Step 3 of 3 : Calculate the correlation coefficient, r. Round your answer to three decimal places.
A study of bone density on 5 random women at a hospital produced the following results....
A study of bone density on 5 random women at a hospital produced the following results. Age 33 45 53 61 65 Bone Density 360 350 345 330 310 Step 3 of 3: Calculate the correlation coefficient, r. Round your answer to three decimal places.
A study of bone density on 5 random women at a hospital produced the following results....
A study of bone density on 5 random women at a hospital produced the following results. X: Age 33 37 45 49 61 Y: Bone Density 355 350 335 330 315 Step 3 of 3: Calculate the correlation coefficient, r. Round your answer to three decimal places.
A study of bone density on 5 random women at a hospital produced the following results....
A study of bone density on 5 random women at a hospital produced the following results. Age 53 57 61 69 73 Bone Density 355 350 345 325 315 Step 1 of 3 :  Calculate the correlation coefficient, r. Round your answer to six decimal places. Step 2 of 3: Determine if r is statistically significant at the 0.01 level. Step 3 of 3: Calculate the coefficient of determination, r^2. Round your answer to three decimal places.
A study of bone density on 55 random women at a hospital produced the following results....
A study of bone density on 55 random women at a hospital produced the following results. Age 33 45 53 61 65 Bone Density 360 350 345 330 310 Step 1 of 3 :   Calculate the correlation coefficient, r. Round your answer to six decimal places.
A study of bone density on 55 random women at a hospital produced the following results....
A study of bone density on 55 random women at a hospital produced the following results. Age 37 41 49 61 69 Bone Density 360 345 320 315 310 Copy Data Step 1 of 3: Calculate the correlation coefficient, r. Round your answer to six decimal places. Step 2 of 3: Determine if r is statistically significant at the 0.01 level. Step 3 of 3: Calculate the coefficient of determination, r2. Round your answer to three decimal places
A study of bone density on 5 random women at a hospital produced the following results....
A study of bone density on 5 random women at a hospital produced the following results. Age   Bone Density 48   359 62   350 63   336 63   327 65   319 Step 3 of 5: Calculate the estimated variance of slope, s2b1sb12. Round your answer to three decimal places.
Step 2 of 5: A study of bone density on 5 random women at a hospital...
Step 2 of 5: A study of bone density on 5 random women at a hospital produced the following results. Age Bone Density 48 359 62 350 63 336 63 327 65 319 Calculate the estimated variance of errors, s2ese2. Round your answer to three decimal places.
A study of bone density on 5 random women at a hospital produced the following results....
A study of bone density on 5 random women at a hospital produced the following results. Age   Bone Density 48   359 62   350 63   336 63   327 65   319 Step 1 of 5: Calculate the sum of squared errors (SSE). Use the values b0=452.4777 and b1=−1.8983 for the calculations. Round your answer to three decimal places. Step 2 of 5: Calculate the estimated variance of errors, s2ese2. Round your answer to three decimal places. Step 3 of 5: Calculate the...
A study of bone density on 5 5 random women at a hospital produced the following...
A study of bone density on 5 5 random women at a hospital produced the following results. Age 44 44 53 53 54 54 54 54 69 69 Bone Density 345 345 344 344 317 317 314 314 311 311 Table Copy Data Step 1 of 5: Calculate the sum of squared errors (SSE). Use the values b0=399.8457 b 0 = 399.8457 and b1=−1.3439 b 1 = − 1.3439 for the calculations. Round your answer to three decimal places. Please...